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Finding the Fourth Proportional to 128,945.97, 177,953.49 and 74,500.47

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Solution

The fourth proportional to 128,945.97, 177,953.49 and 74,500.47 is: 102,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,945.97 : 177,953.49 = 74,500.47 : x
  2. Step 2: Convert to fraction form
    128,945.97/177,953.49 = 74,500.47/x
  3. Step 3: Cross multiply
    128,945.97x = 177,953.49 × 74,500.47
  4. Step 4: Simplify right side
    128,945.97x = 13,257,618,643.14
  5. Step 5: Solve for x
    x = 13,257,618,643.14/128,945.97
  6. Step 6: Final answer
    x = 102,815.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.